A=r mod z R= a relation which is reflexive symmetric but not transitive
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transitive means for example, "if a=b and b=c, then a=c". reflexive means for example, "a=a, b=b, c=c, etc."
A transitive relation is which objects of a similar nature are the same. An example is if a and b are the same, and if b and c are the same; then a and c are the same.
when x is not an element of the set, it is both reflexive and irreflexive by vacuos truth
Transitive Property (mathematics), property of a mathematical relation such that if the relation holds between a and b and between b and c, then it also exists between a and c. The equality relation, for example, is transitive because if a = b and b = c, then a = c. Other transitive relations include greater than (>), less than (<), greater than or equal to (?), and less than or equal to (?).
Symmetric is a term used to describe an object in size or shape. For example, you could say that an orange is symmetric to the sun or a glass is symmetric to a cone